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Finding the Fourth Proportional to 8,535.12, 12,806.46 and 3,608.16

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Solution

The fourth proportional to 8,535.12, 12,806.46 and 3,608.16 is: 5,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.12 : 12,806.46 = 3,608.16 : x
  2. Step 2: Convert to fraction form
    8,535.12/12,806.46 = 3,608.16/x
  3. Step 3: Cross multiply
    8,535.12x = 12,806.46 × 3,608.16
  4. Step 4: Simplify right side
    8,535.12x = 46,207,756.71
  5. Step 5: Solve for x
    x = 46,207,756.71/8,535.12
  6. Step 6: Final answer
    x = 5,413.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.